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Composition and analysis of music using Mathematica
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| Mathematica in Education and Research |
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In this paper we demonstrate how to create and analyze musical compositions using Mathematica. In Section 1, we begin by demonstrating how to create a musical composition for an orchestra based on the butterfly curve using traditional means. In Section 2, we then show how a computer generated piece based on any curve can be composed using Mathematica. Finally, in Section 3 we show how Mathematica can be used to analyze musical compositions using the methods from nonlinear time series analysis.
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